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Finding the Fourth Proportional to 294,965.12, 442,449.12 and 73,349.12

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Solution

The fourth proportional to 294,965.12, 442,449.12 and 73,349.12 is: 110,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,965.12 : 442,449.12 = 73,349.12 : x
  2. Step 2: Convert to fraction form
    294,965.12/442,449.12 = 73,349.12/x
  3. Step 3: Cross multiply
    294,965.12x = 442,449.12 × 73,349.12
  4. Step 4: Simplify right side
    294,965.12x = 32,453,253,596.77
  5. Step 5: Solve for x
    x = 32,453,253,596.77/294,965.12
  6. Step 6: Final answer
    x = 110,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.